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Techniques for finding regularized solutions to underdetermined linear systems can be viewed as imposing prior knowledge on the unknown vector. The success of modern techniques, which can impose priors such as sparsity and non-negativity,…

Optimization and Control · Mathematics 2020-02-13 Keith Dillon , Yeshaiahu Fainman

When two nested models are compared, using a Bayes factor, from an objective standpoint, two seemingly conflicting issues emerge at the time of choosing parameter priors under the two models. On the one hand, for moderate sample sizes, the…

Methodology · Statistics 2013-10-03 Guido Consonni , Jonathan J. Forster , Luca La Rocca

To answer a question, language models often need to integrate prior knowledge learned during pretraining and new information presented in context. We hypothesize that models perform this integration in a predictable way across different…

Computation and Language · Computer Science 2024-06-18 Kevin Du , Vésteinn Snæbjarnarson , Niklas Stoehr , Jennifer C. White , Aaron Schein , Ryan Cotterell

Objective prior distributions represent an important tool that allows one to have the advantages of using the Bayesian framework even when information about the parameters of a model is not available. The usual objective approaches work off…

Methodology · Statistics 2018-09-25 Fabrizio Leisen , Cristiano Villa , Stephen G. Walker

Informally, "Information Inconsistency" is the property that has been observed in many Bayesian hypothesis testing and model selection procedures whereby the Bayesian conclusion does not become definitive when the data seems to become…

Statistics Theory · Mathematics 2017-10-27 Joris Mulder , James O. Berger , Víctor Peña , M. J. Bayarri

We define a notion of information that an individual sample provides to the training of a neural network, and we specialize it to measure both how much a sample informs the final weights and how much it informs the function computed by the…

We study the problem of determining what data is required to solve a decision-making task when only partial information about the state of the world is available. Focusing on linear programs, we introduce a decision-focused notion of data…

Optimization and Control · Mathematics 2026-02-18 Omar Bennouna , Amine Bennouna , Saurabh Amin , Asuman Ozdaglar

We argue that some of the computational complexity associated with estimation of stochastic attribute-value grammars can be reduced by training upon an informative subset of the full training set. Results using the parsed Wall Street…

Computation and Language · Computer Science 2007-05-23 Miles Osborne

Recently Komaki proposed latent information priors as an objective prior. In this short article, we consider the one-step ahead prediction based on one-sample under the binomial model. In this specific case, the latent information prior is…

Statistics Theory · Mathematics 2014-10-14 Fuyuhiko Tanaka

This study is a preliminary exploration of the concept of informativeness -how much information a sentence gives about a word it contains- and its potential benefits to building quality word representations from scarce data. We propose…

Computation and Language · Computer Science 2019-07-23 Syrielle Montariol , Aina Garí Soler , Alexandre Allauzen

Building on ideas from linguistics, psychology, and social sciences about the possible mechanisms of human decision-making, we propose a novel theoretical framework for the citation analysis. Given the existing trend to investigate citation…

Digital Libraries · Computer Science 2007-06-18 Victor V. Kryssanov , Evgeny L. Kuleshov , Frank J. Rinaldo , Hitoshi Ogawa

Current methods for textual analysis rely on data annotated within predefined ontologies, often embedding human bias within black-box models. Despite achieving near-perfect performance, these approaches exploit unstructured, linear pattern…

Computation and Language · Computer Science 2026-03-11 Diego Revilla , Martin Fernandez-de-Retana , Lingfeng Chen , Aritz Bilbao-Jayo , Miguel Fernandez-de-Retana

For nearly any challenging scientific problem evaluation of the likelihood is problematic if not impossible. Approximate Bayesian computation (ABC) allows us to employ the whole Bayesian formalism to problems where we can use simulations…

Computation · Statistics 2011-07-04 Chris Barnes , Sarah Filippi , Michael P. H. Stumpf , Thomas Thorne

Language is not only used to transmit neutral information; we often seek to persuade by arguing in favor of a particular view. Persuasion raises a number of challenges for classical accounts of belief updating, as information cannot be…

Computation and Language · Computer Science 2022-09-15 Samuel A. Barnett , Thomas L. Griffiths , Robert D. Hawkins

This paper introduces a framework for incorporating prior information into the design of sequential experiments. These sources may include past experiments, expert opinions, or the experimenter's intuition. We model the problem using a…

Econometrics · Economics 2024-10-01 Frederico Finan , Demian Pouzo

Bayesian Optimization is methodology used in statistical modelling that utilizes a Gaussian process prior distribution to iteratively update a posterior distribution towards the true distribution of the data. Finding unbiased informative…

Machine Learning · Computer Science 2021-01-05 Ruduan Plug

This introduction to Bayesian statistics presents the main concepts as well as the principal reasons advocated in favour of a Bayesian modelling. We cover the various approaches to prior determination as well as the basis asymptotic…

Methodology · Statistics 2010-02-09 Christian P. Robert , Judith Rousseau

To answer the call of introducing more Bayesian techniques to organizational research (e.g., Kruschke, Aguinis, & Joo, 2012; Zyphur & Oswald, 2013), we propose a Bayesian approach for meta-analysis with power prior in this article. The…

Methodology · Statistics 2014-07-30 Zhiyong Zhang , Kaifeng Jiang , Haiyan Liu , In-Sue Oh

When speaking or writing, people omit information that seems clear and evident, such that only part of the message is expressed in words. Especially in argumentative texts it is very common that (important) parts of the argument are implied…

Computation and Language · Computer Science 2019-12-24 Maria Becker , Katharina Korfhage , Anette Frank

Very often features come with their own vectorial descriptions which provide detailed information about their properties. We refer to these vectorial descriptions as feature side-information. In the standard learning scenario, input is…

Machine Learning · Computer Science 2017-03-09 Amina Mollaysa , Pablo Strasser , Alexandros Kalousis
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